The spectral properties of some nonlinear operators of Sturm-Liouville type

2017 ◽  
Vol 208 (9) ◽  
pp. 1282-1297 ◽  
Author(s):  
D. V. Valovik
Keyword(s):  
Spectral Properties ◽  
Liouville Type ◽  
Nonlinear Operators ◽  
Sturm Liouville

Sturm-Liouville operators with an indefinite weight function

1977 ◽  
Vol 78 (1-2) ◽  
pp. 161-191 ◽  
Author(s):  
K. Daho ◽  
H. Langer
Keyword(s):  
Weight Function ◽  
Liouville Equation ◽  
Spectral Properties ◽  
Scalar Product ◽  
Main Tool ◽  
Indefinite Weight ◽  
Indefinite Weight Function ◽  
Sturm Liouville ◽  
Liouville Operators

SynopsisSpectral properties of the singular Sturm-Liouville equation –(p−1y′)′ + qy = λry with an indefinite weight function r are studied in . The main tool is the theory of definitisable operators in spaces with an indefinite scalar product.

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